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Finding the Fourth Proportional to 13,409.58, 18,504.93 and 7,441.19

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Solution

The fourth proportional to 13,409.58, 18,504.93 and 7,441.19 is: 10,268.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,409.58 : 18,504.93 = 7,441.19 : x
  2. Step 2: Convert to fraction form
    13,409.58/18,504.93 = 7,441.19/x
  3. Step 3: Cross multiply
    13,409.58x = 18,504.93 × 7,441.19
  4. Step 4: Simplify right side
    13,409.58x = 137,698,700.07
  5. Step 5: Solve for x
    x = 137,698,700.07/13,409.58
  6. Step 6: Final answer
    x = 10,268.68

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.